A) 3
B) 0
C) 1
D) 2
Correct Answer: B
Solution :
Complex cube root of unity are \[1,\,\,\omega ,\,{{\omega }^{2}}\] Let\[\alpha =\omega ,\,\,\beta ={{\omega }^{2}}\]; Then \[{{\alpha }^{4}}+{{\beta }^{4}}+{{\alpha }^{-1}}{{\beta }^{-1}}\] \[={{\omega }^{4}}+{{({{\omega }^{2}})}^{4}}+({{\omega }^{-1}})\,\,{{({{\omega }^{2}})}^{-1}}=\omega +{{\omega }^{2}}+1=0\].You need to login to perform this action.
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